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Finding the Fourth Proportional to 304.14, 419.46 and 204.57

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Solution

The fourth proportional to 304.14, 419.46 and 204.57 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.14 : 419.46 = 204.57 : x
  2. Step 2: Convert to fraction form
    304.14/419.46 = 204.57/x
  3. Step 3: Cross multiply
    304.14x = 419.46 × 204.57
  4. Step 4: Simplify right side
    304.14x = 85,808.93
  5. Step 5: Solve for x
    x = 85,808.93/304.14
  6. Step 6: Final answer
    x = 282.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.